David Axelrod, who’s itching to leave the White House, wants to move back to Chicago, insiders say. President Obama‘stop political adviser, perhaps feeling lonely, has bigger plans for the Windy City than jump-starting Obama’s re-election campaign — he wants to find a four-legged best friend. Axelrod’s “been begging his wife for a dog since he moved to DC,” a friend told us. “He even came up with names, but Susan, who lives between Chicago and DC, says he has to wait till he moves back.” A source said Axelrod may be looking to leave the administration earlier than spring 2011, closer to January or February. But an aide to Axelrod told us he’d stay well into spring.